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Let F be a number field and $\widetilde{\mathrm{Sp}}(2n)$ be the metaplecticcovering of Weil of $\mathrm{Sp}(2n, \mathbb{A}_F)$. We stabilize the ellipticsemi-simple terms of the genuine part of trace formula for$\widetilde{\mathrm{Sp}}(2n)$, by using the transfer of test functions and thefundamental lemma established in a previous article. We obtain therefore anexpression in terms of stable orbital integrals along certain $F$-ellipticclasses in $\mathrm{SO}(2n'+1) \times \mathrm{SO}(2n''+1)$, which we callequisingular, for pairs $(n', n'')$ satisfying $n'+n''=n$. A simple formula forthe coefficients is also obtained.

La formule des traces stable pour le groupe m\'etaplectique: les termes elliptiques